Question

2. Convert 10101 2 and 11001000 2 into Decimal form .​

Answer 1

❁Answer:

1)10101

${2}^{4} \times 1 = 16 \times 1 = 16$

${2}^{3} \times 0 = 8 \times 0 = 0$

${2}^{2} \times 1 = 4 \times 1 = 4$

${2}^{1} \times 0 = 2 \times 0 = 0$

${2}^{0} \times 1 = 1 \times 1 = 1$

$16 + 0 + 4 + 0 + 1 = 21$

2)1001000

${2}^{7} \times 1 = 128 \times 1 = 128$

${2}^{6} \times 1 = 64 \times 1 = 64$

${2}^{5} \times 0 = 32 \times 0 = 0$

${2}^{4} \times 0 = 16 \times 0 =0$

${2}^{3} \times 1 = 8 \times 1= 8$

${2}^{2} \times 0 = 4 \times 0 = 0$

${2}^{1} \times 0 = 2 \times 0 = 0$

${2}^{0} \times 1 = 1 \times 0 = 0$

${2}^{4} \times 0 = 16 \times 0 = 0$

$128 + 64 + 0 + 0 + 8 + 0 + 0 + 0 = 200$

❁Aditional information :

• A single binary number is called a bit
• bi means 'two'
• A binary digit is made up of '0''1'
• A decimal number consists of 0 to 9 digits.
• to convert decimal to binary we need to divide the number.
• to convert binary to decimal we need to multiply the number