A new problem

Number Theory Level 1

Convert 764 to base 7.

2159 1771 2141

Vishwathiga Jayasankar by vishwathiga jayasankar , 20, India

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Pham Khanh
Apr 13, 2016

We have: 764 = 2 ∗ 7 3 + 7 2 + 4 ∗ 7 + 1 764=2*7^{3}+7^{2}+4*7+1 So: 76 4 10 = ( 2 ∗ 7 3 + 7 2 + 4 ∗ 7 + 1 ) 10 = ( 2 ∗ 1 0 3 + 1 0 2 + 4 ∗ 10 + 1 ) 7 = 214 1 7 764_{10}=(2*7^{3}+7^{2}+4*7+1)_{10}=(2*10^{3}+10^{2}+4*10+1)_{7}=2141_{7} Hence, the answer is 2141 \boxed{2141}

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...