Give the decimal representation for the following numbers a

Give the decimal representation for the following numbers:

a. (1101010)2

b. (364)7

c. (A3)16

Solution

Solution:

(a) (1101010)2

=1×2^6 + 1×2^5 + 0x2^4 + 1×2^3 + 0x2^2 + 1×2^1 + 0x2^0

(1101010)2=106 in decimal system

(b)(364)₇= 3* 7²+ 6*7¹ + 4*7⁰

   ^=147+42+4

   (364)₇ =193 in decimal

(c)(A3)₁₆= 10*16^{1 +}3*16⁰ =160+3=163

(A3)₁₆ =163 in decimal system

remember that hex A=decimal 10