CMPSCI 101 Homework 2 – Basic Input & Arithmetic

inary to decimal involves multiplying the bits with increasing powers of 2 and adding the
result.
For example for the 2 bit binary number 10 the bits 1 and 0 are multiplied by 21 and 20
respectively resulting in 21 x 1 + 20 x 0 = 2. Thus the decimal equivalent of 10 is 2.
Similarly for the 4 bit binary number 1011 the bits 1, 0, 1, 1 are multiplied by 23, 22, 21
and20 respectively resulting in 23 X 1 + 22 X 0 + 21 X 1 + 20 X 1 = 11. Thus the decimal
equivalent of 1011 is 11.
For a 6 digit binary number assuming the bits are b5 through b0 the decimal equivalent of
the binary number b5 b4 b3 b2 b1 b0 is given by b5 X 25+ b4 X 24+ b3 X 23+ b2 X 22+ b1 X
21+ b0 X 20
Some other examples are
(binary)111→22 X1+21 X1+20 X1→7(decimal) (binary)10001→24 X1+23 X0+22 X0+21 X0+20
X1→17(decimal) (binary)10100→24 X1+23 X0+22 X1+21 X0+20 X0→20(decimal) Sample
program output:
Please enter a 6 bit binary number: 101010
The decimal equivalent is: 42