Hexadecimal Numbers

1010

base 16

Decimal system, also called Hindu-Arabic number system or Arabic number system, in mathematics, positional numeral system employing 10 as the base and requiring 10 different numerals, the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

Decimal number system has only ten (10) digits from 0 to 9. Every number (value) represents with 0,1,2,3,4,5,6, 7,8 and 9 in this number system. The base of decimal number system is 10, because it has only 10 digits.

Binary number representation

A 10-bit binary number cannot exceed: 11 1111 1111 or 3FFh or 1023 decimal. But, the maximum number of Cylinders we can reference in 10 bits is 1024, since we begin counting from zero.

A six-bit character code is a character encoding designed for use on computers with word lengths a multiple of 6. Six bits can only encode 64 distinct characters, so these codes generally include only the upper-case letters, the numerals, some punctuation characters, and sometimes control characters.

two different values

Why? 6 bits. 63 distinct things can be represented in 6 bits; 31 distinct things can be represented in 5 bits. Therefore 6 bits must be used.

This is a decimal to two’s complement converter and a two’s complement to decimal converter. They just convert it to or from two’s complement form. For example, -7 converts to 11111001 (to 8 bits), which is -7 in two’s complement. (Complementing it would make it 7, or 00000111 to 8 bits.)

8 bits

65535

2,147,483,647

In computer architecture, 16-bit integers, memory addresses, or other data units are those that are 16 bits (2 octets or 2 Bytes) wide. If we consider the signed range of integer values that can be stored in 16 bits is −32,768 (−1 × 215) through 32,767 (215 − 1).

The largest binary number you can represent in 14 bits, assuming no sign bit, is 11 1111 1111 1111, that’s 2¹⁴ – 1 or 16,383.

A 12-bit digital value can represent 4096 (212) different numbers. A 16-bit digital value can represent 65536 (216) different numbers.

With 8 bits, the maximum number of values is 256 or 0 through 255. Table 5.1 gives the number of bits in a binary number and the maximum number of states that can be represented….Maximum Decimal Value for N Bits.

5 bits

You’d need 9 bits. 2^0 is 1; 2^9 is 512, so you don’t need that one. In binary, 500 would be 111110100 (9 bits).

ASCII a 7-bit are synonymous, since the 8-bit byte is the common storage element, ASCII leaves room for 128 additional characters which are used for foreign languages and other symbols. This mean that the 8-bit has been converted to a 7-bit characters, which adds extra bytes to encode them.

32

Hexadecimal to Octal Conversion

1. Consider the given hexadecimal number.
2. First count the number of digits in the number.
3. If n is the position of the digit from the right end then multiply each digit with 16n-1
4. Add the terms after multiplication.
5. Resultant is the equivalent decimal form.
6. Divide the decimal number with 8.

2699 from decimal to hexadecimal is A8B. Here we show you how to write 269910 in hexadecimal and how to convert 2699 from base-10 to base-16.

Octal Binary Hexadecimal

1. = (56)8 = (101)(110) = (101110)2
2. = (101110)2 = (10)(1110) = (2)(14) = (2e)16
3. = 5*81+6*80 = 40+6. = (46)10

The simplest way is to convert the octal number into a decimal, then the decimal into hexadecimal form. Write the powers of 8 (1, 8, 64, 512, 4096, and so on) beside the octal digits from bottom to top. Multiply each digit by its power….Related Articles.

Decimal to hex conversion table

Remembering that the letters A, B, C, D, E and F are used for the values 10, 11, 12, 13, 14 and 15, convert accordingly. For example, the decimal number 15 will be F in hex….Decimal to Hexadecimal Conversion Table.