Question

Match the following 16 2 +1 Decimal O O Hexadecimal O O O O O O Octal O Binary O O Carry O O​

Answer 1

|••• SOLUTION •••|

The decimal numbering system has a radix of 10....

A denary (decimal) number can be expressed as

10.5 ...

= 1 x 101 + 0 x 100 + 5 x 10-1

The binary numbering system has a radix of 2.

A binary number can be expressed as

1011.1

= 1 x 23 + 0 x 22 + 1 x 21 + 1 x 20 + 1 x 2-1

= 8 + 0 + 1 + 1 + 1/2

= 10.5

The distinction binary vs. denary numbers can be indicated as

1011.12 = 10.510